Title :
Modeling nonlinear neural dynamics with Volterra-Poisson kernels
Author :
Courellis, S.H. ; Gholmieh, G. ; Marmarelis, V.Z. ; Berger, T.W.
Author_Institution :
Dept. of Biomed. Eng., Southern California Univ., Los Angeles, CA, USA
Abstract :
A nonparametric quantitative model is introduced that captures the nonlinear dynamic properties of neural systems using input/output data. It is based on the Volterra modeling approach adapted for point-process inputs and outputs. Using input/output data, a model is presented for the CAl region of the hippocampus. The model represents reliably the nonlinear dynamic mapping performed by CAI with high accuracy. Compared to traditional descriptors of nonlinear neural dynamics, the presented model provides a generalized, comprehensive view.
Keywords :
Poisson equation; Volterra series; neural nets; nonlinear dynamical systems; Volterra modeling approach; Volterra-Poisson kernel; nonlinear neural dynamic; nonparametric quantitative model; point-process input; point-process output; Biological system modeling; Delay; Hippocampus; Information processing; Kernel; Mathematical model; Mechanical factors; Parametric statistics; Predictive models; Testing;
Conference_Titel :
Neural Networks, 2004. Proceedings. 2004 IEEE International Joint Conference on
Conference_Location :
Budapest
Print_ISBN :
0-7803-8359-1
DOI :
10.1109/IJCNN.2004.1381193